Wavelet bases in the Lebesgue spaces on the field of p-adic numbers

  • N. M. ChuongEmail author
  • D. V. Duong
Research Articles


In this paper we prove that p-adic wavelets form an unconditional basis in the space L r (ℚ p n ) and give the characterization of the space L r (ℚ p n ) in terms of Fourier coefficients of p-adic wavelets.Moreover, the Greedy bases in the Lebesgue spaces on the field of p-adic numbers are also established.


p-adicmultiresolution analysis wavelet bases unconditional basis Greedy basis 


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© Pleiades Publishing, Ltd. 2013

Authors and Affiliations

  1. 1.Institute of MathematicsVietnamese Academy of Science and TechnologyHanoiVietnam
  2. 2.Central University of ConstructionPhuyenVietnam

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